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Finding the Fourth Proportional to 1,257.80, 1,886.96 and 527.38

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Solution

The fourth proportional to 1,257.80, 1,886.96 and 527.38 is: 791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.80 : 1,886.96 = 527.38 : x
  2. Step 2: Convert to fraction form
    1,257.80/1,886.96 = 527.38/x
  3. Step 3: Cross multiply
    1,257.80x = 1,886.96 × 527.38
  4. Step 4: Simplify right side
    1,257.80x = 995,144.96
  5. Step 5: Solve for x
    x = 995,144.96/1,257.80
  6. Step 6: Final answer
    x = 791.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.